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Finding the Third Proportional to 384,750 and 574,970

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Solution

The third proportional to 384,750 and 574,970 is: 859,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,750 : 574,970 = 574,970 : x
  2. Step 2: Convert to fraction form
    384,750/574,970 = 574,970/x
  3. Step 3: Cross multiply
    384,750x = 574,970 × 574,970
  4. Step 4: Simplify right side
    384,750x = 330,590,500,900
  5. Step 5: Solve for x
    x = 330,590,500,900/384,750
  6. Step 6: Final answer
    x = 859,234.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.